Increase £55 by 37%
Give your answer rounded to 2 DP.

Answer:

  Pears:  30

Step-by-step explanation:

Constant:

  3x + 5x + 2x = 150

                 10x = 150

                    x = 15  

Multiply ratio with constant from above:

  oranges : apples

       3 * 15 : 5 * 15

            45 : 75       ==>               45 oranges: 75 apples

  pears : apples

   2 * 15 : 5 * 15

        30 : 75          ==>                    30 pears: 75 apples

Check:

45 oranges + 75 apples + 30 pears = 150 fruits

The Michelson-Morley experiment was conducted in 1887 to detect the existence of the luminiferous ether, which was thought to be the medium through which light traveled.

Here is the procedure for the Michelson-Morley experiment:

1. Set up a light source, a half-silvered mirror, two mirrors, and two detectors in a square configuration.

2. Split the light beam using the half-silvered mirror so that one beam goes to one mirror and the other beam goes to the other mirror.

3. Reflect the beams back to the half-silvered mirror and combine them to produce an interference pattern.

4. Rotate the entire apparatus by 90 degrees and repeat the measurement.

5. Compare the interference patterns from the two orientations.

If there is a luminiferous ether, the speed of light should be faster in the direction of the ether flow and slower in the perpendicular direction. This should produce a difference in the interference patterns.

However, the Michelson-Morley experiment showed that there was no difference in the interference patterns, indicating that the luminiferous ether did not exist.

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Answer: 3055

Step-by-step explanation:

47 x 65

Separate the 40 and the 7, and the 60 and the 5. You get 40 from the 4 in 47 because 4 is in the tens place, you get 60 from 65 for the same reason. Then you want to multiply 40 x 60, which can also be 6 x 4, then add two 0's. So for this we have 2400. Then multiply the 40 by the 5, this can be 4 x 5 then add a 0. Now for this we have 200. Now you want to multiply the 7 by the 60. 7 x 6 = 42, so add a 0.

7 x 60 = 420

Now, multiply the 7 by the 5, this is 35. Lastly, you want to add all the products together.

35 + 420 + 200 + 2400

= 3055

The type of triangle shown in the image is the Obtuse triangle because one angle measures more than 90 degrees.

A triangle is said to be an obtuse triangle if one of its angles measures more than 90 degrees.

In the given diagram, one of the angles measures more than 90 degrees.

So, the given triangle is an obtuse triangle.

Hence, the type of triangle shown in the image is the Obtuse triangle.

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Answer:

27

Step-by-step explanation:

Answer:

ST=27   (Hope this helps)

Step-by-step explanation:

         RS+ST=100

           2x+7+x-6=100

             3x+1=100

               3x=99

                 x=33

         ST=33-6

           ST=27

The equation of the purple street as a horizontal line through the point (0,5) can be written as y = 5.

In this equation, y represents the dependent variable (the vertical axis), while the number 5 represents the constant value that the line maintains across all x values. This means that, regardless of the x-coordinate, the y-coordinate will always be 5. The equation is in the form y = mx + b, where m is the slope (which is zero in this case) and b is the y-intercept (which is 5 in this case). The y-intercept indicates the point where the line intersects the y-axis, which is (0,5) in this scenario. Therefore, the equation y = 5 represents a horizontal line passing through the point (0,5).

The equation y = 5 represents the purple street as a horizontal line through the point (0,5). The equation is in the form y = mx + b, where the slope (m) is zero, indicating a horizontal line, and the y-intercept (b) is 5, indicating that the line intersects the y-axis at the point (0,5). This equation means that, regardless of the x-coordinate, the y-coordinate will always be 5.

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Answer: The answer is Step 2 it should be m o plus m p = 180 degrees (Supplementary angles)

Step-by-step explanation: The reason it’s this answer first we know the triangle will equal 180 and 2 it was supplementary

The number for which the sample standard deviation is exceeded with a probability of 0.01 is approximately 29.143.

To find the probability that the sample standard deviation is bigger than a certain number, we can use the chi-square distribution.

Given:

Sample size (n) = 15

Standard deviation of the population (σ) = 1.8%

Significance level (α) = 0.01 (1%)

To find the critical chi-square value, we need to determine the degrees of freedom. For a sample standard deviation, the degrees of freedom are (n - 1).

Degrees of freedom (df) = 15 - 1 = 14

Using a chi-square distribution table or calculator with 14 degrees of freedom and a significance level of 0.01, we find the critical chi-square value to be approximately 29.143.

The probability that the sample standard deviation is bigger than a certain number can be interpreted as the probability of having a chi-square value greater than that number.

Therefore, the probability that the sample standard deviation is bigger than the critical chi-square value of 29.143 is 0.01 or 1%.

In summary, the probability is 0.01 that the sample standard deviation is bigger than 29.143.

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The amount of ingredients needed for 10 apple melon recipe is 25 cups of watermelon, 7.5 cup of cantaloupe and 15 cup of honey, and for 15 is 37.5 cups of watermelon, 11.25 cup of cantaloupe and 22.5 cup of honey.

What do you mean by recipe?

A recipe contains the list of ingredients and set of instructions that tells us how to cook any particular dish.

As given in the question, for one recipe, we need

2 & 1/2 cups of watermelon, 3/4 cup of cantaloupe and 1 &1/2 cup of honey.

We can also say it as:

2.5 cups of watermelon, 0.75 cup of cantaloupe and 1.5 cup of honey.

In order to the amount of ingredients for 10 we need to multiply each ingredient with 10.

so it will become,

25 cups of watermelon, 7.5 cup of cantaloupe and 15 cup of honey.

Similarly, In order to the amount of ingredients for 15 we need to multiply each ingredient with 15.

so it will become, 37.5 cups of watermelon, 11.25 cup of cantaloupe and 22.5 cup of honey.

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The 90% confidence interval for the BMI of all preschoolers is option (d)  (15.49, 17.11)

To calculate the 90% confidence interval for the BMI of all preschoolers, we can use the formula

CI = X ± Z × (σ / sqrt(n))

where X is the sample mean, σ is the sample standard deviation, n is the sample size, and Z is the z-score corresponding to the desired confidence level (in this case, 90%).

We can find the value of Z using a standard normal distribution table or calculator, which gives us a value of 1.645.

Plugging in the values from the problem, we get

CI = 16.3 ± 1.645 × (1.4 / sqrt(10))

CI = 16.3 ± 0.90

So the 90% confidence interval for the BMI of all preschoolers is (15.49, 17.11).

Therefore, the correct option is (d) (15.49, 17.11)

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Answer:

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180 degrees

so

70 + 35 + x = 180 add like terms

105 + x = 180 subtract 105 from both sides

x = 75

Answer:

75  degrees

Step-by-step explanation

triangles add up to 180 degrees so, 70+35= 105 degrees, 180-105= 75 degrees

Answer:

22 , 34 , 124

Step-by-step explanation:

hope this helps!

The 98% confidence interval to estimate the true cost of a gallon of milk is  between $2.9334 and $3.0266.

The following formula can be used to compute a confidence interval for a population mean with a known population standard deviation:

CI = xbar ± z*(σ/√n)

Here, X = $2.98, = $0.10, n = 25, and a 98% confidence interval is desired.

The z-score at a 98% confidence level is 2.33

When we plug in the values, we get:

CI = 2.98 ± 2.33*(0.10/√25) = 2.98 ± 0.0466 = [2.9334, 3.0266]

As a result, we can be 98% certain that the genuine cost of a gallon of milk is between $2.9334 and $3.0266.

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Answer:

The perimeter of the polygon is 22.

Step-by-step explanation:

Let \(A(x,y) =(-3,1)\), \(B(x,y) = (5,1)\), \(C(x,y) = (-3, 4)\) and \(D(x,y) =(5,4)\) the vertices of the polygon. From Geometry we know that number of side of polygons equals their number of vertices, then we notice that a quadrilateral is here. In addition, we conclude that such quadrilateral is a rectangle:

1) \(x_{A} = x_{C}\)

2) \(x_{B} = x_{D}\)

3) \(y_{A} = y_{B}\)

4) \(y_{C} = y_{D}\)

Hence, we find that \(AB = CD\) and \(AC = BD\).

Then we find all lengths of the rectangle by Pythagorean Theorem:

\(AB = \sqrt{[5-(-3)]^{2}+(1-1)^{2}}\)

\(AB =8\)

\(AC = \sqrt{[(-3)-(-3)]^{2}+(4-1)^{2}}\)

\(AC = 3\)

By Geometry, we conclude that \(CD = 8\) and \(BD = 3\).

Then, the perimeter of the rectangle (\(p\)), dimensionless, is defined by the following formula:

\(p = 2\cdot (s+l)\) (Eq. 1)

Where:

\(s\) - Shortest length, dimensionless.

\(l\) - Longest length, dimensionless.

If we know that \(s = 3\) and \(l = 8\), then the perimeter of the rectangle is:

\(p = 2\cdot (3+8)\)

\(p = 22\)

The perimeter of the polygon is 22.

Answer:

177147

Step-by-step explanation:

Well in "simpler" terms \(3^{11}\) is really just

3×3×3×3×3×3×3×3×3×3×3

Multiply everything and you get 177147

Hope you have a good day and luck in finding good memes!

Answer:

.8/10

Because Lisa made 80 out of 100 free throws, and her probability of making a free throw is 0.8, the probability would be .8/10.

Step-by-step explanation: this may be wrong due to lack of detail in the question.

Answer:

shenf dhd

Step-by-step explanation:

rhrbrutb hnjngb bdjdhdhdgdg jdjdurbervy

The length of the base and the height of the triangle in feet are 16 feet and 6 feet respectively.

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let b represent the base of the triangle and h is the height, hence:

b = 2h + 4       (1)

Also, the area of the triangle is 48 square feet:

48 = (1/2)bh

96 = bh

(2h + 4)h = 96

2h² + 4h - 96 = 0

h = 6

b = 2(6) + 4 = 16

The length of the base and the height of the triangle in feet are 16 feet and 6 feet respectively.

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Answer:

the answer is 3/5

Step-by-step explanation:

.................

Answer:

.

21,600 in.

Step-by-step explanation: multiply 12 x 4 x 3 x 5 x 6 x 5

Answer:

it is C

Step-by-step explanation:

To find the percentage of times the vending machine dispenses more than 7.1 oz of coffee, we can use the standard normal distribution since the amount dispensed is normally distributed.

We can start by finding the z-score associated with 7.1 oz of coffee's = (x - μ) / σwhere

x = 7.1 oz,

μ = 7.7 oz, and

σ = 0.5

ozz

= (7.1 - 7.7) / 0.5

= -1.2

Now, we need to find the percentage of times the machine will dispense more than 7.1

The cumulative distribution function gives the area to the left of a given z-score, so we need to subtract this area from 1 to get the area to the right.

P(z > -1.2)

= 1 - P(z ≤ -1.2)

= 1 - 0.11507

= 0.88493

The percentage of times the machine will dispense more than 7.1 oz is 88.493%, or approximately 88.5%.

Answer: 88.5%.

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Answer:

-5

Step-by-step explanation:

15=-x+10

x-10=-15

x=-15+10

x=-5

Answer:

\(100.00 \div 6 \)

The probability that the youngest member of the group sits in the seat closest to the door 1 / 6

Given that, a group of 6 friends of varying ages meets at a coffee shop and sits in a circle, we need to find the probability that the youngest member of the group sits in the seat closest to the door,

So, the probability = favorable outcomes / total outcomes

Here, the favorable outcome = 1

The total outcomes = 1, 2, 3, 4, 5, 6 = 6

So, the probability = 1/6 = 1/2

Hence, the probability that the youngest member of the group sits in the seat closest to the door 1 / 6

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Answer:

Step-by-step explanation:

There are  80 black squares in A. The % is 80/100 or 80%

There are 12 1/2 black squares in B. The % is 12 1/2 % black

There are 10 black squares in C   The % is 10% black

This is a really bad question. We are not told which to represent, white or black.

A: 20% white

B: 87 1/2% white

C: 90% white

I'm going to leave the second part because I don't know which way is wanted.

2.64 is greater than 1.9